Is the burned wire close to the resistor pack?, If so you perhaps you might be able to use crimp and solder connectorshttp://www.nationalstandardparts.com/images/css/cssinstall.jpg

cut and strip as close to the pack as you can, get a long needle nose to crimp the conncetors then fill em with solder. I have XXL glove size so I feel your pain. This makes me feel even more excited about the prospects of repairing my 79's ACC